Some Old and More Recent Results of the Mathematical theory of an Ideal Incompressible Fluid

Friday, October 5, 2001 - 10:50am - 11:30am
Lind 409
Mikhail Vishik (The University of Texas at Austin)
We will start with the review of the classical existence theory for the Euler equations of an ideal incompressible fluid. These results obtained in the 1920s and 1930s still constitute the core of the theory. We will discuss the weak solutions in dimension 2 and some more recent uniqueness results. The ideas coming from Harmonic Analysis will be emphasized in this talk.